Generalized （∈,∈∨q）-fuzzy Ideals in BCK-algebras

LIU Chun-hui

doi:10.13371/j.cnki.chin.q.j.m.2015.03.008

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 3: 373 - 380

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.03.008

Generalized （∈,∈∨q）-fuzzy Ideals in BCK-algebras

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School of Mathematics and Statistics, Chifeng University

LIU Chun-hui(1982-), male, native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in domain theory, non-classical mathematical logic and topology.

Received date: 2013-11-15

Online published: 2020-11-20

Supported by

Supported by the National Science Foundation of China(60774073)；

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Abstract

In this paper, as a generalization of the notion of（∈, ∈∨ q）-fuzzy ideals, we introduced the notion of（∈, ∈∨ q^δ）-fuzzy ideals and investigated their properties in BCKalgebras. Several equivalent characterizations of（∈, ∈∨ q^δ）-fuzzy ideals are obtained and relations between（∈, ∈∨ q^δ）-fuzzy ideals and ideals are discussed in BCK-algebras.

Key words： BCK-algebra; ideal; fuzzy ideal; （∈, ∈∨ q^δ）-fuzzy ideal

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LIU Chun-hui . Generalized （∈,∈∨q）-fuzzy Ideals in BCK-algebras[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(3) : 373 -380 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.03.008

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